6 min read
This study guide covers logistic models with differential equations, specifically for AP Calculus BC. It explains the concept of carrying capacity and how to determine it from a given differential equation. It also covers how to find the population size at the fastest growth rate, which is half the carrying capacity. Example problems and practice questions are included.
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Question 1 of 9
Which of the following scenarios best describes a logistic growth model? 🤔
A population of bacteria doubling every hour with no limitations
A population of fish growing rapidly at first, but then leveling off as resources become scarce
The height of a tree increasing at a constant rate
The spread of a virus in an environment with unlimited resources